An Order of Magnitude (abbreviated to OoM) is a measurement of how many 10s you must multiply together to get to a number. Using logarithms, you can instead see what you need to raise ten to the power of, to get non-integer Orders of Magnitude.
In Egg, Inc.[]
Farm Value is measured in orders of magnitude. This allows for easier comparison, because 1036 and 1042 are easier to compare than 1,000,000,000,000,000,000,000,000,000,000,000,000 and 100,000,000,000,000,000,000,000,000,000,000,000,000,000. With Orders of Magnitude, you don't have to painstakingly count the zeroes; you can use exponent rules to calculate 1042 divided by 1036 as 1042-36, which simplifies to 106, meaning one farm value is 1 million times the other.
Order | Name | Abbreviation | Number of zeroes after 1 | Expanded form |
---|---|---|---|---|
0 | Thousand | K | 3 | 1,000 |
1 | Million | M | 6 | 1,000,000 |
2 | Billion | B | 9 | 1,000,000,000 |
3 | Trillion | T | 12 | 1,000,000,000,000 |
4 | Quadrillion | q | 15 | 1,000,000,000,000,000 |
5 | Quintillion | Q | 18 | 1,000,000,000,000,000,000 |
6 | Sextillion | s | 21 | 1,000,000,000,000,000,000,000 |
7 | Septillion | S | 24 | 1,000,000,000,000,000,000,000,000 |
8 | Octillion | o | 27 | 1,000,000,000,000,000,000,000,000,000 |
9 | Nonillion | N | 30 | 1,000,000,000,000,000,000,000,000,000,000 |
10 | Decillion | d | 33 | 1,000,000,000,000,000,000,000,000,000,000,000 |
11 | Undecillion | U | 36 | 1,000,000,000,000,000,000,000,000,000,000,000,000 |
12 | Duodecillion | D | 39 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000 |
13 | Tredecillion | Td | 42 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
14 | Quattuordecillion | qd | 45 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
15 | Quindecillion | Qd | 48 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
16 | Sexdecillion | sd | 51 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
17 | Septendecillion | Sd | 54 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
18 | Octodecillion | Od | 57 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
19 | Novemdecillion | Nd | 60 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
20 | Vigintillion | V | 63 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
21 | Unvigintillion | uV | 66 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
22 | Duovigintillion | dV | 69 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
23 | Tresvigintillion | tV | 72 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
24 | Quattuorvigintillion | qV | 75 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
25 | Quinvigintillion | QV | 78 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
26 | Sesvigintillion | sV | 81 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
27 | Septenvigintillion | SV | 84 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
28 | Octovigintillion | OV | 87 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
29 | Novemvigintillion | NV | 90 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
30 | Trigintillion | tT | 93 | 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 |
New units names and abbreviations are added with some game updates as the player base achieves higher farm values. Most of the unit names are based on those found in a dictionary or commonly used online, but sometimes there are minor differences.
Calculation[]
To calculate a number in OoM, you evaluate log10(number). A logarithm is the answer to the question "To what power must I raise the base (the small number written immediately after the word "log") to get the argument (the normal-sized number, usually written in parentheses)?", where a "power" means multiplying a certain number of copies of a number together. For example, 106 is calculated by multiplying 6 copies of the number 10 together, which results in 1,000,000. Hence, log10(1,000,000) gives 6 as the Order of Magnitude.
Notes[]
- Going beyond $999tT (999 Trigintillion, 1095) causes the game to display the number as 'A Lot'.
- Common Research costs can reach $16.564uV, assuming no discounts of any form are active. The 'uV' price range is unique to the Timeline Splicing research, as well as the final 12 levels of Matter Reconfiguration.
- T is trillion and if Td is too long T is also tredecillion.
External Links[]
- "Order of Magnitude" on Wikipedia - for further explanation on Order of Magnitude.
- "Triangle of a Power" - a YouTube video by 3blue1brown which presents an interesting triangular relationship between powers, roots, and logarithms